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1052230520 = 235112317013
BaseRepresentation
bin111110101101111…
…100001101111000
32201022221211220202
4332231330031320
54123332334040
6252224541332
735034545315
oct7655741570
92638854822
101052230520
1149aa58400
12254481848
13139cc6913
149da65d0c
156259c015
hex3eb7c378

1052230520 has 96 divisors (see below), whose sum is σ = 2686642560. Its totient is φ = 370233600.

The previous prime is 1052230513. The next prime is 1052230537. The reversal of 1052230520 is 250322501.

It is a super-2 number, since 2×10522305202 = 2214378134438940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1052230492 and 1052230501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146534 + ... + 153546.

It is an arithmetic number, because the mean of its divisors is an integer number (27985860).

Almost surely, 21052230520 is an apocalyptic number.

1052230520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343321280).

1052230520 is an abundant number, since it is smaller than the sum of its proper divisors (1634412040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1052230520 is a wasteful number, since it uses less digits than its factorization.

1052230520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1052230520 is about 32438.1029038383. The cubic root of 1052230520 is about 1017.1155596599.

The spelling of 1052230520 in words is "one billion, fifty-two million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7013 7502 13640 14026 15004 18755 28052 30008 35065 37510 56104 70130 75020 77143 140260 150040 154286 217403 280520 308572 385715 434806 617144 771430 848573 869612 1087015 1542860 1697146 1739224 2174030 2391433 3085720 3394292 4242865 4348060 4782866 6788584 8485730 8696120 9565732 11957165 16971460 19131464 23914330 26305763 33942920 47828660 52611526 95657320 105223052 131528815 210446104 263057630 526115260 1052230520